1920031872 has 288 divisors, whose sum is σ = 5927256720. Its totient is φ = 549964800.

The previous prime is 1920031859. The next prime is 1920031873. The reversal of 1920031872 is 2781300291.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (1920031873) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 44651883 + ... + 44651925.

Almost surely, 2^1920031872 is an apocalyptic number.

1920031872 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1920031872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2963628360).

1920031872 is an abundant number, since it is smaller than the sum of its proper divisors (4007224848).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1920031872 is a wasteful number, since it uses less digits than its factorization.

1920031872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 33.

The square root of 1920031872 is about 43818.1682866822. The cubic root of 1920031872 is about 1242.8998796848.

The spelling of 1920031872 in words is "one billion, nine hundred twenty million, thirty-one thousand, eight hundred seventy-two".